In a factory, Machine A was turned on first and it produced 108 fish cakes. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 fish cakes Machine A produced, Machine B produced 6 fish cakes. Machine B produced 23 less than
34 of the total number of fish cakes produced. How many fish cakes were produced altogether?
|
Make u the same (1) x 3 = (3) |
Machine A (1) |
Machine B (2) |
Make u the same (2) x 2 = (4) |
Total |
Before |
324 |
108 |
0 |
0 |
|
Change |
+ 12 u |
+ 4 u |
+ 6 u |
+ 12 u |
|
After |
9 p + 69 |
3 p + 23 |
3 p - 23 |
6 p - 46 |
4 p |
From (3)
324 + 12 u = 9 p + 69
12 u = 9 p + 69 - 324
12 u = 9 p - 255
From (4)
0 + 12 u = 6 p - 46
12 u = 6 p - 46
(3) = (4)
9 p - 255 = 6 p - 46
9 p - 6 p = 255 - 46
3 p = 209
Number of fish cakes that were produced altogether
= 4 p
= 4 x 209
= 836
Answer(s): 836